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Finding the Third Proportional to 354,785 and 518,973

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Solution

The third proportional to 354,785 and 518,973 is: 759,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,785 : 518,973 = 518,973 : x
  2. Step 2: Convert to fraction form
    354,785/518,973 = 518,973/x
  3. Step 3: Cross multiply
    354,785x = 518,973 × 518,973
  4. Step 4: Simplify right side
    354,785x = 269,332,974,729
  5. Step 5: Solve for x
    x = 269,332,974,729/354,785
  6. Step 6: Final answer
    x = 759,144.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.